{"id":147948,"date":"2024-10-03T15:35:43","date_gmt":"2024-10-03T15:35:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=147948"},"modified":"2024-10-03T15:35:46","modified_gmt":"2024-10-03T15:35:46","slug":"a-company-makes-a-part-that-is-designed-to-be-1000-mm-long-plus-or-minus-1","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/03\/a-company-makes-a-part-that-is-designed-to-be-1000-mm-long-plus-or-minus-1\/","title":{"rendered":"A company makes a part that is designed to be 1000 mm long, plus or minus 1%"},"content":{"rendered":"\n<p>A company makes a part that is designed to be 1000 mm long, plus or minus 1%, Which of these lengths would be acceptable? (Select all that apply)<br>(A) 1100 mm<br>(B) 1099 mm<br>(C) 9998 mm<br>(D) 1020 mm<br>(E) 998 mm<br>(F) 1009 mm<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve this problem, we need to determine which lengths fall within the acceptable range for a part that is designed to be 1000 mm long, plus or minus 1%.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Determine the acceptable range<\/h3>\n\n\n\n<p>The part is supposed to be 1000 mm long, but there\u2019s a tolerance of \u00b11%. This means the length can vary by 1% of 1000 mm.<\/p>\n\n\n\n<p>1% of 1000 mm is:1%\u00d71000=1100\u00d71000=10&nbsp;mm1\\% \\times 1000 = \\frac{1}{100} \\times 1000 = 10 \\text{ mm}1%\u00d71000=1001\u200b\u00d71000=10&nbsp;mm<\/p>\n\n\n\n<p>Thus, the part can be 10 mm longer or shorter than the specified 1000 mm length. Therefore, the acceptable range is:1000&nbsp;mm\u221210&nbsp;mm=990&nbsp;mm1000 \\text{ mm} &#8211; 10 \\text{ mm} = 990 \\text{ mm}1000&nbsp;mm\u221210&nbsp;mm=990&nbsp;mm 1000&nbsp;mm+10&nbsp;mm=1010&nbsp;mm1000 \\text{ mm} + 10 \\text{ mm} = 1010 \\text{ mm}1000&nbsp;mm+10&nbsp;mm=1010&nbsp;mm<\/p>\n\n\n\n<p>So, the acceptable range is from <strong>990 mm to 1010 mm<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Evaluate the options<\/h3>\n\n\n\n<p>Let\u2019s examine each option to see if it falls within the acceptable range:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>(A) 1100 mm<\/strong>: This is outside the acceptable range (990 mm &#8211; 1010 mm), so <strong>it is not acceptable<\/strong>.<\/li>\n\n\n\n<li><strong>(B) 1099 mm<\/strong>: This is also outside the acceptable range, so <strong>it is not acceptable<\/strong>.<\/li>\n\n\n\n<li><strong>(C) 9998 mm<\/strong>: This appears to be a typo or mistake. If it were 998 mm, that\u2019s outside the range, so <strong>it is not acceptable<\/strong>.<\/li>\n\n\n\n<li><strong>(D) 1020 mm<\/strong>: This is outside the range of 990 mm &#8211; 1010 mm, so <strong>it is not acceptable<\/strong>.<\/li>\n\n\n\n<li><strong>(E) 998 mm<\/strong>: This is below the lower bound of 990 mm, so <strong>it is not acceptable<\/strong>.<\/li>\n\n\n\n<li><strong>(F) 1009 mm<\/strong>: This is within the range of 990 mm to 1010 mm, so <strong>it is acceptable<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Only <strong>(F) 1009 mm<\/strong> falls within the acceptable range of 990 mm to 1010 mm. Therefore, the correct answer is <strong>(F)<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A company makes a part that is designed to be 1000 mm long, plus or minus 1%, Which of these lengths would be acceptable? (Select all that apply)(A) 1100 mm(B) 1099 mm(C) 9998 mm(D) 1020 mm(E) 998 mm(F) 1009 mm The correct Answer and Explanation is: To solve this problem, we need to determine which [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-147948","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147948","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=147948"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147948\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147948"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147948"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147948"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}